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The dynamics of a Bose-Einstein condensate of atoms having attractive interactions is studied using quantum many-body simulations. The collapse of the condensate by quantum tunneling is numerically demonstrated and the tunneling rate is…

Quantum Gases · Physics 2015-06-17 Hiroki Saito

A dynamical correspondence is established between positively curved, isotropic, perfect fluid cosmologies and quasi-two-dimensional, harmonically trapped Bose-Einstein condensates by mapping the equations of motion for both systems onto the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 James E. Lidsey

We study the dynamics of three-dimensional weakly linked Bose-Einstein condensates using a multimode model with an effective interaction parameter. The system is confined by a ring-shaped four-well trapping potential. By constructing a…

Quantum Gases · Physics 2018-02-27 M. Nigro , P. Capuzzi , H. M. Cataldo , D. M. Jezek

We study a transversely pumped atomic Bose-Einstein Condensate coupled to a single-mode optical cavity, where effective atom-atom interactions are mediated by pump and cavity photons. A number of experiments and theoretical works have shown…

The coherent flow of a Bose-Einstein condensate through a quantum dot in a magnetic waveguide is studied. By the numerical integration of the time-dependent Gross-Pitaevskii equation in presence of a source term, we simulate the propagation…

Other Condensed Matter · Physics 2009-11-10 Tobias Paul , Klaus Richter , Peter Schlagheck

Dilute Bose gases, cooled down to low temperatures below the Bose-Einstein condensation temperature, form coherent ensembles described by the Gross-Pitaevskii equation. Stationary solutions to the latter are topological coherent modes. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. I. Yukalov , E. P. Yukalova

We show that the perturbative nonlinearity associated with three-atom interactions, competing with standard two-body repulsive interactions, can change dramatically the evolution of 1D dispersive shock waves in a Bose-Einstein condensate.…

Pattern Formation and Solitons · Physics 2015-06-03 M. Crosta , S. Trillo , A. Fratalocchi

We discuss coherent atomic oscillations between two weakly coupled Bose-Einstein condensates that are energetically different. The weak link is notionally provided by a laser barrier in a (possibly asymmetric) multi-well trap or by Raman…

Quantum Gases · Physics 2022-05-25 John D. Andersen , Srikanth Raghavan , V. M. Kenkre

The Gross-Pitaevskii equation has been extremely successful in the theory of weakly-interacting Bose-Einstein condensates. However, present-day experiments reach beyond the regime of its validity due to the significant role of correlations.…

Condensed Matter · Physics 2007-05-23 Krzysztof Goral , Thorsten Koehler , Thomas Gasenzer , Keith Burnett

We model combined photoassociation and Feshbach resonances in a Bose-Einstein condensate, where the shared dissociation continuum allows for quantum interference in losses from the condensate, as well as a dispersive-like shift of…

Quantum Gases · Physics 2015-05-14 Matt Mackie , Catherine DeBrosse

We study the emergence of dynamical phases of a Bose-Einstein condensate that is optomechanically coupled to a dissipative cavity mode and transversally driven by a laser. We focus on the regime close to the optomechanical resonance, where…

Quantum Physics · Physics 2025-10-28 Gage W. Harmon , Giovanna Morigi , Simon B. Jäger

We investigate the quantum dynamics of Raman-coupled Bose-Einstein condensates driven by laser beams that carry orbital angular momentum. By adiabatically eliminating the excited atomic state we obtain an effective two-state Hamiltonian for…

Other Condensed Matter · Physics 2009-11-13 Rina Kanamoto , Ewan M. Wright , Pierre Meystre

We study the collective two-channel dissociation dynamics of a molecular Bose-Einstein condensate into bosonic fragments under tight harmonic confinement. Bose-stimulated dissociation in either channel can only take place provided that the…

Other Condensed Matter · Physics 2009-11-13 I. Tikhonenkov , A. Vardi

We examine an effectively repulsive Bose-Einstein condensate of atoms, that rotates in a quadratic-plus-quartic trapping potential. We investigate the phase diagram of the system as a function of the angular frequency of rotation and of the…

Statistical Mechanics · Physics 2015-06-24 A. D. Jackson , G. M. Kavoulakis

We consider in detail the situation of applying a time dependent external magnetic field to a 87Rb atomic Bose-Einstein condensate held in a harmonic trap, in order to adiabatically sweep the interatomic interactions across a Feshbach…

Condensed Matter · Physics 2007-05-23 Krzysztof Goral , Thorsten Koehler , Simon A. Gardiner , Eite Tiesinga , Paul S. Julienne

We investigate the energy structures and the dynamics of a Bose-Einstein condensates (BEC) in a triple-well potential coupled a high finesse optical cavity within a mean field approach. Due to the intrinsic atom-cavity field nonlinearity,…

Quantum Gases · Physics 2012-07-13 Lei Tan , Bin Wang , Peter Barker , Wu-Ming Liu

The dynamical response of an atomic Bose-Einstein condensate manipulated by an integrated atom optics device such as a microtrap or a microfabricated waveguide is studied. We show that when the miniaturization of the device enforces a…

Statistical Mechanics · Physics 2009-11-10 Weiping Zhang , Ewan M. Wright , Han Pu , Pierre Meystre

We discuss the transport of a tracer particle through the Bose Einstein condensate of a Bose gas. The particle interacts with the atoms in the Bose gas through two-body interactions. In the limiting regime where the particle is very heavy…

Mathematical Physics · Physics 2015-06-05 Juerg Froehlich , Zhou Gang

We study the decay dynamics of an interacting Bose-Einstein condensate in the presence of a metastable trapping potential from which the condensate can escape via tunneling through finite barriers. The time-dependent decay process is…

Other Condensed Matter · Physics 2015-06-25 Peter Schlagheck , Sandro Wimberger

The motto of this paper is: Let's face Bose-Einstein condensation through nonlinear dynamics. We do this by choosing variational forms of the condensate wave functions (of given symmetry classes), which convert the Bose-Einstein condensates…

Quantum Physics · Physics 2010-01-12 G. Wunner , H. Cartarius , T. Fabčič , P. Köberle , J. Main , T. Schwidder